Justification of power law canonical distributions based on the generalized central-limit theorem
Justification of power law canonical distributions based on the generalized central-limit theorem
复制标题
DOI：
10.1209/epl/i2000-00481-1
复制
发表时间：
2000-12-01
期刊：
影响因子：
--
通讯作者：
Rajagopal, AK
中科院分区：
文献类型：
--
作者：
Abe, S;Rajagopal, AK
在广义中心极限定理的基础上，通过推广Khinchin关于推导gibbs正则系综理论的讨论，给出了Zipf-Mandelbrot型幂律正则分布的自洽热力学框架。在建立热力学勒让德变换结构与非扩展统计力学的联系时，引用了热力学勒让德变换结构。
A self-consistent thermodynamic framework is presented for power law canonical distributions of the Zipf-Mandelbrot type based on the generalized central-limit theorem by extending the discussion given bg Khinchin for deriving Gibbsian canonical ensemble theory. The thermodynamic Legendre transform structure is invoked in establishing its connection to nonextensive statistical mechanics.